Closure models for multimaterial cells in arbitrary Lagrangian-Eulerian hydrocodes.

*(English)*Zbl 1151.76026Summary: High-speed multimaterial flows with strong shear deformations occur in many problems. Due to the nature of shock wave propagation in complex materials, the arbitrary Lagrangian-Eulerian (ALE) methods are currently the only proven technology to simulate such problems. In ALE methods, the mesh does not move with the fluid, so that it is unavoidable that mixed cells containing two or more materials will appear; such mixed cells require a special closure model to be well posed. In this paper, we will discuss some of the possible models.

##### MSC:

76M20 | Finite difference methods applied to problems in fluid mechanics |

76N15 | Gas dynamics (general theory) |

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\textit{M. Shashkov}, Int. J. Numer. Methods Fluids 56, No. 8, 1497--1504 (2008; Zbl 1151.76026)

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